242122531138560 has 704 divisors, whose sum is σ = 914541537254400. Its totient is φ = 60536796217344.

The previous prime is 242122531138547. The next prime is 242122531138597. The reversal of 242122531138560 is 65831135221242.

It is a happy number.

242122531138560 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 2 + 2 + 53 + 1 + 1 + 38 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617875171 + ... + 618266909.

It is an arithmetic number, because the mean of its divisors is an integer number (1299064683600).

Almost surely, 2^{242122531138560} is an apocalyptic number.

242122531138560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242122531138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457270768627200).

242122531138560 is an abundant number, since it is smaller than the sum of its proper divisors (672419006115840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242122531138560 is a wasteful number, since it uses less digits than its factorization.

242122531138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392053 (or 392029 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 242122531138560 in words is "two hundred forty-two trillion, one hundred twenty-two billion, five hundred thirty-one million, one hundred thirty-eight thousand, five hundred sixty".